115806016 has 56 divisors (see below), whose sum is σ = 236280960. Its totient is φ = 56297472.

The previous prime is 115806013. The next prime is 115806029. The reversal of 115806016 is 610608511.

It is a super-2 number, since 2×115806016² = 26822066683584512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115806013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484425 + ... + 484663.

Almost surely, 2^115806016 is an apocalyptic number.

115806016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118140480).

115806016 is an abundant number, since it is smaller than the sum of its proper divisors (120474944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115806016 is a wasteful number, since it uses less digits than its factorization.

115806016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 115806016 is about 10761.3203650853. The cubic root of 115806016 is about 487.4278881721.

The spelling of 115806016 in words is "one hundred fifteen million, eight hundred six thousand, sixteen".